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A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 6 18/47%. For a kg, he uses a weight of
953 gms
940 gms
960 gms
947 gms
- Gain Percent Calculation: A gain of 6 18/47% translates to a fractional value of 288/4700, meaning the dealer makes this profit by manipulating the weight.
- Understanding False Weight: When selling 1 kg, the correct method would utilize a weight of 1000 grams.
- Calculation Method: If the dealer indicates using a false weight, then to find this, divide 1000 grams by 1.0618 (since the gain is 6.18%).
- Numeric Resolution: By calculation, 1000 / 1.0618 ˜ 941.4 grams, indicating that he uses less than a kg to guarantee gain.
- Option Analysis:
- 953 grams: Too high to reach a 6.18% gain.
- 940 grams: Closest option to 941.4 grams.
- 960 grams: Higher than necessary for the specified profit.
- 947 grams: Still slightly high for the desired gain.
The correct answer is option 2: 940 grams.
By: Sandeep Dubey ProfileResourcesReport error
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